On the unit-1-stable rank of rings of analytic functions.

Joan Josep Carmona; Julià Cufí; Pere Menal

Publicacions Matemàtiques (1992)

  • Volume: 36, Issue: 2A, page 439-447
  • ISSN: 0214-1493

Abstract

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In this paper we prove a general result for the ring H(U) of the analytic functions on an open set U in the complex plane which implies that H(U) has not unit-1-stable rank and that has some other interesting consequences. We prove also that in H(U) there are no totally reducible elements different from the zero function.

How to cite

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Carmona, Joan Josep, Cufí, Julià, and Menal, Pere. "On the unit-1-stable rank of rings of analytic functions.." Publicacions Matemàtiques 36.2A (1992): 439-447. <http://eudml.org/doc/41724>.

@article{Carmona1992,
abstract = {In this paper we prove a general result for the ring H(U) of the analytic functions on an open set U in the complex plane which implies that H(U) has not unit-1-stable rank and that has some other interesting consequences. We prove also that in H(U) there are no totally reducible elements different from the zero function.},
author = {Carmona, Joan Josep, Cufí, Julià, Menal, Pere},
journal = {Publicacions Matemàtiques},
keywords = {totally reducible elements; unit-1-stable rank; unimodular pair; totally reducible},
language = {eng},
number = {2A},
pages = {439-447},
title = {On the unit-1-stable rank of rings of analytic functions.},
url = {http://eudml.org/doc/41724},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Carmona, Joan Josep
AU - Cufí, Julià
AU - Menal, Pere
TI - On the unit-1-stable rank of rings of analytic functions.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2A
SP - 439
EP - 447
AB - In this paper we prove a general result for the ring H(U) of the analytic functions on an open set U in the complex plane which implies that H(U) has not unit-1-stable rank and that has some other interesting consequences. We prove also that in H(U) there are no totally reducible elements different from the zero function.
LA - eng
KW - totally reducible elements; unit-1-stable rank; unimodular pair; totally reducible
UR - http://eudml.org/doc/41724
ER -

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